\NeedsTeXFormat{LaTeX2e}[1995/12/01]
\ProvidesPackage{stys/Symbols}[2023/04/10,v1.0]
%%%%%%%%%%%%%%%%%%%%%%%%%%begin list of symbols %%%%%%%%%%%%

% region prime
\newcommand{\pra}{{a^\prime}}
\newcommand{\prb}{{b^\prime}}
\newcommand{\prc}{{c^\prime}}
\newcommand{\prd}{{d^\prime}}
\newcommand{\pre}{{e^\prime}}
\newcommand{\prf}{{f^\prime}}
\newcommand{\prg}{{g^\prime}}
\newcommand{\prh}{{h^\prime}}
\newcommand{\pri}{{i^\prime}}
\newcommand{\prj}{{j^\prime}}
\newcommand{\prk}{{k^\prime}}
\newcommand{\prl}{{l^\prime}}
\newcommand{\prm}{{m^\prime}}
\newcommand{\prn}{{n^\prime}}
\newcommand{\pro}{{o^\prime}}
\newcommand{\prp}{{p^\prime}}
\newcommand{\prq}{{q^\prime}}
\newcommand{\prr}{{r^\prime}}
\newcommand{\prs}{{s^\prime}}
\newcommand{\prt}{{t^\prime}}
\newcommand{\pru}{{u^\prime}}
\newcommand{\prv}{{v^\prime}}
\newcommand{\prw}{{w^\prime}}
\newcommand{\prx}{{x^\prime}}
\newcommand{\pry}{{y^\prime}}
\newcommand{\prz}{{z^\prime}}
\newcommand{\prA}{{A^\prime}}
\newcommand{\prB}{{B^\prime}}
\newcommand{\prC}{{C^\prime}}
\newcommand{\prD}{{D^\prime}}
\newcommand{\prE}{{E^\prime}}
\newcommand{\prF}{{F^\prime}}
\newcommand{\prG}{{G^\prime}}
\newcommand{\prH}{{H^\prime}}
\newcommand{\prI}{{I^\prime}}
\newcommand{\prJ}{{J^\prime}}
\newcommand{\prK}{{K^\prime}}
\newcommand{\prL}{{L^\prime}}
\newcommand{\prM}{{M^\prime}}
\newcommand{\prN}{{N^\prime}}
\newcommand{\prO}{{O^\prime}}
\newcommand{\prP}{{P^\prime}}
\newcommand{\prQ}{{Q^\prime}}
\newcommand{\prR}{{R^\prime}}
\newcommand{\prS}{{S^\prime}}
\newcommand{\prT}{{T^\prime}}
\newcommand{\prU}{{U^\prime}}
\newcommand{\prV}{{V^\prime}}
\newcommand{\prW}{{W^\prime}}
\newcommand{\prX}{{X^\prime}}
\newcommand{\prY}{{Y^\prime}}
\newcommand{\prZ}{{Z^\prime}}

% endregion

% region vector symbols
\newcommand{\veca}{{\boldsymbol{a}}}
\newcommand{\vecb}{{\boldsymbol{b}}}
\newcommand{\vecc}{{\boldsymbol{c}}}
\newcommand{\vecd}{{\boldsymbol{d}}}
\newcommand{\vece}{{\boldsymbol{e}}}
\newcommand{\vecf}{{\boldsymbol{f}}}
\newcommand{\vecg}{{\boldsymbol{g}}}
\newcommand{\vech}{{\boldsymbol{h}}}
\newcommand{\veci}{{\boldsymbol{i}}}
\newcommand{\vecj}{{\boldsymbol{j}}}
\newcommand{\veck}{{\boldsymbol{k}}}
\newcommand{\vecl}{{\boldsymbol{l}}}
\newcommand{\vecm}{{\boldsymbol{m}}}
\newcommand{\vecn}{{\boldsymbol{n}}}
\newcommand{\veco}{{\boldsymbol{o}}}
\newcommand{\vecp}{{\boldsymbol{p}}}
\newcommand{\vecq}{{\boldsymbol{q}}}
\newcommand{\vecr}{{\boldsymbol{r}}}
\newcommand{\vecs}{{\boldsymbol{s}}}
\newcommand{\vect}{{\boldsymbol{t}}}
\newcommand{\vecu}{{\boldsymbol{u}}}
\newcommand{\vecv}{{\boldsymbol{v}}}
\newcommand{\vecw}{{\boldsymbol{w}}}
\newcommand{\vecx}{{\boldsymbol{x}}}
\newcommand{\vecy}{{\boldsymbol{y}}}
\newcommand{\vecz}{{\boldsymbol{z}}}
\newcommand{\vecA}{{\boldsymbol{A}}}
\newcommand{\vecB}{{\boldsymbol{B}}}
\newcommand{\vecC}{{\boldsymbol{C}}}
\newcommand{\vecD}{{\boldsymbol{D}}}
\newcommand{\vecE}{{\boldsymbol{E}}}
\newcommand{\vecF}{{\boldsymbol{F}}}
\newcommand{\vecG}{{\boldsymbol{G}}}
\newcommand{\vecH}{{\boldsymbol{H}}}
\newcommand{\vecI}{{\boldsymbol{I}}}
\newcommand{\vecJ}{{\boldsymbol{J}}}
\newcommand{\vecK}{{\boldsymbol{K}}}
\newcommand{\vecL}{{\boldsymbol{L}}}
\newcommand{\vecM}{{\boldsymbol{M}}}
\newcommand{\vecN}{{\boldsymbol{N}}}
\newcommand{\vecO}{{\boldsymbol{O}}}
\newcommand{\vecP}{{\boldsymbol{P}}}
\newcommand{\vecQ}{{\boldsymbol{Q}}}
\newcommand{\vecR}{{\boldsymbol{R}}}
\newcommand{\vecS}{{\boldsymbol{S}}}
\newcommand{\vecT}{{\boldsymbol{T}}}
\newcommand{\vecU}{{\boldsymbol{U}}}
\newcommand{\vecV}{{\boldsymbol{V}}}
\newcommand{\vecW}{{\boldsymbol{W}}}
\newcommand{\vecX}{{\boldsymbol{X}}}
\newcommand{\vecY}{{\boldsymbol{Y}}}
\newcommand{\vecZ}{{\boldsymbol{Z}}}
\newcommand{\vecep}{{\boldsymbol{\varepsilon}}}
\newcommand{\vecphi}{{\boldsymbol{\varphi}}}
% endregion
\newcommand{\rmd}{\mathrm{d}}
\newcommand{\rme}{\mathrm{e}}
% region defferential symbols
% 一阶微分

\newcommand{\dx}{{\mathrm{d}x}}
\newcommand{\dy}{{\mathrm{d}y}}
\newcommand{\dz}{{\mathrm{d}z}}
\newcommand{\dt}{{\mathrm{d}t}}
\newcommand{\dr}{{\mathrm{d}r}}
\newcommand{\dq}{{\mathrm{d}q}}
\newcommand{\dL}{{\mathrm{d}L}}
\newcommand{\dphi}{{\mathrm{d}\varphi}}
\newcommand{\dtheta}{{\mathrm{d}\theta}}

\newcommand{\dqi}{{\mathrm{d}q_i}}
\newcommand{\dpi}{{\mathrm{d}p_i}}
% 一阶导数, 牛顿符号
\newcommand{\dotx}{{\dot{x}}}
\newcommand{\doty}{{\dot{y}}}
\newcommand{\dotz}{{\dot{z}}}
\newcommand{\dott}{{\dot{t}}}
\newcommand{\dotq}{{\dot{q}}}
\newcommand{\dotp}{{\dot{p}}}
\newcommand{\dotr}{{\dot{r}}}
\newcommand{\dotphi}{{\dot{\varphi}}}
\newcommand{\dottheta}{{\dot{\theta}}}
\newcommand{\dvx}{\dot{\boldsymbol{x}}}
\newcommand{\dvq}{\dot{\boldsymbol{q}}}

% 二阶导数, 牛顿符号
\newcommand{\ddotx}{{\ddot{x}}}
\newcommand{\ddoty}{{\ddot{y}}}
\newcommand{\ddotz}{{\ddot{z}}}
\newcommand{\ddott}{{\ddot{t}}}
\newcommand{\ddotq}{{\ddot{q}}}
\newcommand{\ddotp}{{\ddot{p}}}
\newcommand{\ddotr}{{\ddot{r}}}
\newcommand{\ddotphi}{{\ddot{\varphi}}}
\newcommand{\ddottheta}{{\ddot{\theta}}}
\newcommand{\ddvx}{\ddot{\boldsymbol{x}}}
\newcommand{\ddvq}{\ddot{\boldsymbol{q}}}


\newcommand{\ddt}[1]{\frac{\mathrm{d}#1}{\mathrm{d}t}}
\newcommand{\ddx}[1]{\frac{\mathrm{d}#1}{\mathrm{d}x}}
% 全导数
\newcommand{\dfd}[2]{\frac{\mathrm{d}#1}{\mathrm{d}#2}}
\newcommand{\dsd}[2]{\frac{\mathrm{d}^2 #1}{\mathrm{d}#2^2}}
% 偏导数
\newcommand{\pfp}[2]{\frac{\partial #1}{\partial #2}}
\newcommand{\psp}[2]{\frac{\partial^2 #1}{\partial #2^2}}
% 拉格朗日函数相关
\newcommand{\pLpq}{{\frac{\partial L}{\partial q}}}
\newcommand{\pLpdq}{{\frac{\partial L}{\partial \dot{q}}}}
\newcommand{\pLpqdq}{{\frac{\partial L}{\partial q}\delta q}}
\newcommand{\pLpdqddq}{{\frac{\partial L}{\partial \dot{q}}\delta \dot{q}}}

\newcommand{\pLpqi}{{\frac{\partial L}{\partial q_i}}}
\newcommand{\pLpdqi}{{\frac{\partial L}{\partial \dot{q}_i}}}
\newcommand{\pLpqdqi}{{\frac{\partial L}{\partial q_i}\delta q_i}}
\newcommand{\pLpdqddqi}{{\frac{\partial L}{\partial \dot{q}_i}\delta \dot{q}_i}}

\newcommand{\Leq}{{\frac{\mathrm{d}}{\mathrm{d}t}\pLpdq-\pLpq=0}}
\newcommand{\Leqi}{{\frac{\mathrm{d}}{\mathrm{d}t}\pLpdqi-\pLpqi=0}}

\newcommand{\pLp}[1]{\frac{\partial L}{\partial #1}}
\newcommand{\pUp}[1]{\frac{\partial U}{\partial #1}}

% 哈密顿函数
\newcommand{\pHp}[1]{\frac{\partial H}{\partial #1}} % pH/p{}
\newcommand{\pHppi}{{\frac{\partial H}{\partial p_i}}}% pH/p p_i
\newcommand{\pHpqi}{{\frac{\partial H}{\partial q_i}}}
\newcommand{\poss}[2]{\left\{ #1,#2\right\}} % 泊松括号{a,b}

% endregion

% region matrix
\newcommand{\inv}[1]{{#1^{-1}}}
\newcommand{\invT}[2]{{#1^{-1} #2 #1}}
\newcommand{\invTT}[2]{{#1 #2 #1^{-1}}}
\newcommand{\tran}[1]{{#1^{\vecT}}}
\newcommand{\tranT}[2]{{#1^{\vecT} #2 #1}}
\newcommand{\tranTT}[2]{{#1 #2 #1^{\vecT}}}
\newcommand{\Hemi}[1]{{#1^{\vecH}}}
\newcommand{\HT}[2]{{#1^{\vecH} #2 #1}}
\newcommand{\HTT}[2]{{#1 #2 #1^{\vecH}}}
% endregion

\newcommand{\Map}[1]{\xrightarrow{ \ \ #1 \ \ }}
\newcommand{\McEpOp}[2]{{\sum_{n=0}^{\infty}\frac{( #2 )^{n}}{n!}\frac{\rmd^n}{\dx^n} #1 }}


\newcommand{\FRN }{\mathfrak{N}}


% region 量子力学
\newcommand{\Poss}[2]{{\left[ \hat{#1}, \hat{#2}\right]}} % 泊松括号[a,b]
% 一维定态薛定谔方程
\newcommand{\SEQa}{
    {-\frac{\hbar^2}{2m}\frac{\mathrm{d}^2}{\mathrm{d}x^2}\psi(x) + V(x)\psi(x)=E\psi(x)}
}
% 一维定态薛定谔方程边界条件(无穷远处为0)
\newcommand{\SEQaCond}{{\psi(\pm\infty)=0}}
% endregion